数学与统计学院教师简介——周年红

发布时间:2021-03-15 浏览次数:3939

周年红

理学博士、讲师

E-mail: nianhongzhou@gxnu.edu.cn

个人主页Nian Hong Zhou (researchgate.net)

解析组合、解析数论、渐近分析

Theta函数、模形式、(椭圆)超几何级数

复分析、实分析、数论、离散数学

[1]. Primes in higher-order progressions on average. Int. J. Number Theory, 14(7):1943-1959, 2018.

[2]. On the sum of the reciprocals of the differences between consecutive primes. Ramanujan J., 47:427-433, 2018.

[3]. On the distribution of rank and crank statistics for integer partitions. Res. Number Theory, 5(2): Art. 18, 8, 2019.

[4]. On the distribution of the rank statistic for strongly concave compositions. Bull. Aust. Math. Soc., 100(2):230-238, 2019.

[5]. Proof of a conjecture of Farkas and Kra. Taiwanese J. Math., 23(6):1317-1326, 2019.

[6]. Uniform asymptotic formulas for restricted bipartite partitions. Bull. Aust. Math. Soc., 102 (2020), no. 2, 217-225.

[7]. Monotonicity properties related to the ratio of two gamma functions. Mediterr. J. Math., 18 (2021), no. 3, Paper No. 104, 12 pp. (with Da-Wei Niu)

[8]. Counting the number of solutions to certain infinite Diophantine equations. Taiwanese J. Math., 25 (2021), no. 2, 223-232. (with Yalin Sun)

[9]. On the average sum of the kth divisor function over values of quadratic polynomials. Ramanujan J., 55 (2021), no. 3, 849-872. (with Kostadinka Lapkova)

[10]. List injective edge-coloring of subcubic graphs. Discrete Appl. Math., 302 (2021), 163-170. (with Jian-Bo Lv, and Jianxi Li)

[11]. Note on partitions into polynomials with number of parts in an arithmetic progression. Int. J. Number Theory, 17 (2021), no. 9, 1951-1963.

[12]. Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions. Ramanujan J., 57 (2022), no. 3, 1085-1123. (with Zhi-Guo Liu)

[13]. On the infinite Borwein product raised to a positive real power. Ramanujan J., (2021). https://doi.org/10.1007/s11139-021-00519-3. (with Michael J. Schlosser)

[14]. Partitions into Beatty sequences. Ramanujan J., (2022). to appear.  



Submitted:

[15]. Partitions into Piatetski-Shapiro sequences. (with Ya-Li Li)

[16]. Eventual log-concavity of k-rank statistics for integer partitions.



Preprints:

[17]. Asymptotic formulae for Eulerian series.



广西科技基地和人才专项项目:某些限制条件下的分拆函数的渐近性的研究,项目负责人,批准编号:2020AC19236,执行期限:202104月— 202404月,8万元, 在研。

广西师范大学科研启动基金:自主课题研究, 项目负责人,执行期限:202101月— 202512月,10万元,在研。

201910月在华东师范大学获博士研究生国家奖学金

  1. 担任过《Advances in Mathematics》、《Journal of Combinatorial Theory, Series A》、《Science China. Mathematics》等多个国内外数学期刊的审稿人。

  2. 美国《数学评论》(Mathematical Reviews)评论员,德国《数学文摘》(zbMATH)评论员。